find a number whose sum is 36 and their difference is 10 what are the numbers and its calculation ​

Answer:

one combination could be 6 girls and 4 boys

The one mean Z test can be used for small samples of size less than 15 when the population standard deviation is known.

The one-mean z-test is a hypothesis test that is used to test a hypothesis about the mean of a population when the population standard deviation is known, and the sample size is large (typically greater than 30).

When the sample size is small (less than 15), the one-mean z-test is not appropriate because the assumptions of the test may not be met.

When the sample size is small, we typically use a t-test instead of a z-test to test a hypothesis about the population mean.

Specifically, we use a one-sample t-test when the population standard deviation is unknown, and the sample size is small (typically less than 30).

The one-sample t-test uses a t-distribution to calculate the p-value and test the null hypothesis about the population mean.

It is important to note that the sample size of 15 is not a hard and fast rule for when to switch from the z-test to the t-test.

The decision of which test to use depends on the specific context and the assumptions of the test.

In general, if the population standard deviation is unknown and the sample size is small (less than 30), then we use the t-test. If the population standard deviation is known and the sample size is large (greater than 30), then we use the z-test.

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5 Households. To determine the number of households included in the histogram representing the number of television sets per household for a sample of U.S. households, follow these steps:

1. Identify the bars on the histogram, which represent the number of television sets per household.
2. Find the height of each bar, which represents the number of households with that specific number of television sets.
3. Add up the heights of all the bars in the histogram.

The total sum represents the number of households included in the histogram.

The x-axis displays the total number of TVs owned by households, while the y-axis displays the number of homes utilising a specific number of TVs.

There are only 5 households total, and each one has 5 televisions. This is the lowest proportion of homes with the same number of televisions, which makes sense given that having five televisions in a single home is unusual.

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Answer:

5:9

Explanation:

20 students prefer soccer, and there is 36 students in the classroom.

20:36

And then simplify by four on both sides.

5:9

Answer:

$7.60

Step-by-step explanation:

If you multiply 19.0 by 4 then you get $7.60

Answer:

6 feet and 2 x-intercepts

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Answer:

hi

Step-by-step explanation:

The correct answer is at the univariate level, descriptive statistics are used for 'data reduction'

By creating the summaries of data samples, descriptive statistics can be used to describe the characteristics of a data set.

It is frequently presented as a summary of data that explains the contents of data. For instance, a census of the population may contain descriptive data on the proportion of men and women in a particular city.

Informational and intended to describe the precise features of a data set, descriptive statistics provide details. The greatest individual batting average for a player, the average number of runs per division, and the number of runs allowed per team are some descriptive statistics that may be used to analyse data from the previous Major League Baseball season.

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\(m\angle E=\sin \dfrac{\sqrt{10}}{2\sqrt5}=\sin \dfrac{\sqrt2}{2}=45^{\circ}\)

hmm wait for my answer

Step-by-step explanation:

wait

Answer:  \(y + 1 = \frac{4}{3}\left(x - 3\right)\\\\\)

=====================================================

Explanation:

The given slope is \(m = \frac{4}{3}\) and the line goes through the point \((x_1,y_1) = (3,-1)\)

This means \(x_1 = 3 \ \text{ and } \ y_1 = -1\)

We will plug this information into the point-slope formula below and simplify.

\(y - y_1 = m\left(x - x_1\right)\\\\y - (-1) = \frac{4}{3}\left(x - 3\right)\\\\y + 1 = \frac{4}{3}\left(x - 3\right)\\\\\)

We stop here since your teacher wants the answer in point-slope form. As the name implies, point-slope form is very handy to quickly spot the slope and a point on the line.

If your teacher wanted the answer in slope-intercept form, then you'd solve for y to get it into y = mx+b form.

Answer:

8 is the correct answer

.

.

.

Answer:

7

Step-by-step explanation:

Jenny is 8 years older than twice her cousin Sue's age.

The 1st equation will be :

J = 8 + 2S ---------(1)

The sum of their ages is less than 32.

The 2nd equation will be :

J + S < 32  ----------------(2)

Now rearrange both equations :

8 + 2S + S < 32

3S < 32 - 8

3S < 24

S < 24/3

S < 8

S = 7

The age of Sue I think will be 7 years.

Hope that help <3

By applying the binomial distribution formula, it can be concluded that the probability of seeing at least one albino squirrel is 0.095.

Combination is the number of ways to choose a sample of r elements from a set of n distinct objects where order does not matter and replacements are not allowed.

C(n,r) = n! / (r! (n-r)!)   where

n = number of samples

r = number of selected samples

The binomial distribution formula is used to find the probability of the specific outcome in a discrete distribution.

P(X) = C(n,r) * \(p^{r}\) * \(q^{n-r}\) where:

C = combination value

p = probability of success on a single trial

q = probability of failure on a single trial

If n is the number of the squirrel, p is the probability of seeing albino squirrels and q is the probability of seeing non-albino squirrels, then:

n = 10000

p = 1/100000

q = 1 - 1/100000 = 99999/100000

The probability of seeing at least one albino squirrel:

= P (X ≥ 1)

= 1 - P(X< 1)

= 1 - P(X=0)

= 1 - C(10000,0) * (1/10000)⁰ * (99999/100000)¹⁰⁰⁰⁰⁻⁰

= 1 - (1 * 1 * (99999/100000)¹⁰⁰⁰⁰)

= 1 - 0.904836

= 0. 095164

≈ 0.095

Thus the probability of seeing at least one albino squirrel is 0.095.

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The area of the surface is  x²/y² + 2x.

This equation defines a three-dimensional surface in space that is symmetrical around the origin. The cylinder, on the other hand, is given by the equation:

x² - 4x y² = 0

To find the intersection of the sphere and cylinder, we can substitute the equation of the cylinder into the equation of the sphere. This gives us:

(x² - 4x y²)² y² z² = 16

Simplifying this expression, we get:

x⁴ y⁴ - 8x³ y⁶ + 16x² y⁸ - 16 = 0

We need to integrate the surface area element over the region of the sphere that lies inside the cylinder. The surface area element is given by:

dS = √(1 + (dz/dx)² + (dz/dy)²) dxdy

where z is the function that describes the upper half of the sphere:

z(x,y) = √(16/(x² y²))

We can calculate the partial derivatives dz/dx and dz/dy using the chain rule:

dz/dx = -8/(x³ y √(x² y²))

dz/dy = -8/(y³ x √(x² y²))

Substituting these expressions into the surface area element, we get:

dS = sqrt(1 + 64/(x⁶ y² (x² y² + 16))) dxdy

Now, we can integrate this expression over the region of the sphere that lies inside the cylinder. The limits of integration are given by:

0 <= x <= 2

0 <= y <= (2x²)/(x² + 4)

Integrating the surface area element over the region of the sphere, we get:

SA = ∫∫dS = \(\int \int(2x^2/(x^2+4)) \sqrt{1 + 64/(x^6 y^2 (x^2 y^2 + 16))} dy\) dx

When we simplify this one then we get the expression as,

SA = x²/y² + 2x.

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Based on the given mean delivery time of 10:28am and the standard deviation of 0:55 mins, the estimated times within which 95% of the deliveries are made is (a) between 8:38 am and 12:18 pm.

To calculate this interval, we need to use the z-score formula, where we find the z-score corresponding to the 95th percentile, which is 1.96. Then, we multiply this z-score by the standard deviation and add/subtract it from the mean to get the upper and lower bounds of the interval.

The upper bound is calculated as 10:28 + (1.96 x 0:55) = 12:18 pm, and the lower bound is calculated as 10:28 - (1.96 x 0:55) = 8:38 am.

Therefore, we can conclude that the interval between 8:38 am and 12:18 pm represents the estimated times within which 95% of the deliveries are made based on the given mean delivery time and standard deviation.

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Answer:

\(h=16inches\)

Step-by-step explanation:

From the question we are told that:

Base of  flag \(l_b=8inch\)

Area of flag \(A=64 inch^2\)

Generally the equation for a triangle is mathematically given by

 \(Area=\frac{1}{2}l_b*h\)

Therefore

 \(h=\frac{2A}{l_b}\\h=\frac{2*64}{8}\)

 \(h=16inches\)

Therefore the hieght of the ship is  mathematically given as

 \(h=16inches\)

The proof of <BED = <BAC  is shown below.

If two triangles have an equal number of corresponding sides and an equal number of corresponding angles, then they are comparable. Similar figures are described as items with the same shape but varying sizes, such as two or more figures.

Given:

AE ⊥ BC

and, CD ⊥ AB

As, AE is perpendicular to BC then BE = EC = 1/2 BC

and, BD = AD = 1/2 AB

Now, In ΔBED and ΔBCA

<EBD = <ABC {common}

BD/AB = BE/ BC = 1/2

By ASA similarity Criteria ΔBED ~ ΔBCA

So, <BED = <BAC

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The monthly payment required to pay off a loan of $140,000 at 7% interest would be $776.89 is the correct statement(A).

The statement given is describing a function that relates the monthly payment R of a 25-year variable-rate mortgage loan to the loan amount A and the current interest rate i.

The given values are R = $776.89 and A = $140,000, with an interest rate of 7%. This means that the monthly payment required to pay off a loan of $140,000 at 7% interest would be $776.89.

However, the other statements are incorrect interpretations. For instance, the statement "For a loan of $140,000 at 7.7689% interest, 700 monthly payments would be required to pay off the loan" is incorrect.

This is because the number of payments required to pay off a loan depends not only on the loan amount and interest rate, but also on the term of the loan.

Similarly, the statement "For a loan of $140,000 at 7% interest, 776.89 monthly payments would be required to pay off the loan" is also incorrect, as the number of payments required would be determined by the term of the loan.

Finally, the statement "For a loan of $140,000 at 7.7689% interest, the monthly payment is $700" is also incorrect. This is because, for the given loan amount and interest rate, the monthly payment required would be $776.89, as calculated above.

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The decimal number Jamila is thinking could be any of this

information given in the question

Jamila is thinking of a decimal number

the hundredth's digit is twice the size of the tenths digit

the unit digit is 3 less than the tenths digit

decimal numbers refers to numbers less than one and not represented as fraction

unit digit = x

tenths digit = y

hundredths digit = z

written in the form = x.yz

x - 3 = y

x = y + 3

z = 2y

to meet the criteria of z = 2y. y should be between 1, 2, 3, 4

(y + 3) . y (2y)

if y = 1, the number is 4.12

if y = 2, the number is 5.24

if y = 3, the number is 6.36

if y = 4, the number is 7.48

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The equation that would give the solution of  x ≤ 4 is -2x ≤-8

In mathematics, "inequality" refers to a relationship between two expressions or values that is not equal to each other. Therefore, inequality emerges from a lack of balance.

the equation is given as -2x ≤-8. We are to solve the inequality so as to get the value of x

we are to divide through -2x ≤-8 by -2

-2x / -2 ≤ -8 / -2

x ≤ 4

the other parts of the question are not clearly stated

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Answer: $342.40

Step-by-step explanation:

There are two ways you can solve this problem:

Simply turning the percentage to a decimal and multiplying it to the $320.

In the picture provided the method at the top represents you multiplying $320 x .07, You might be wondering “why .07 instead of 7%?” Well, if you were turning this number from a percent to a decimal you would shift the decimal point over to the left 2 times.

And so multiplying $320 x .07 = 22.4 or 22.40. Either way works but without the zero is the way you should write it. And you would add 22.4 to $320 and get $342.40.

Also in the picture provided I used the method of proportions.

Where the total is $320 in this case which you would put next to 100% as 100% means complete or the total. And you would put 7% above 100%. Then, proceed to cross multiply $320 by 7 and it will give you, 2240. Then, you divide it by 100. When you divide it you get 22.40. Then you would add it to $320 and get 342.40.

Answer:

8 minutes

Step-by-step explanation:

Step one:

given

A submarine is 105 feet below the surface of the water

depth of submarine= 105 feet

let the time of ascending be x

Required

The time taken to ascend up to 81 ft

Step two:

the expression for the situation is

81=105-3x

solve for x

3x=105-81

3x=24

divide both sides by 3

x= 24/3

x=8 minutes

The most likely mean for the sample distribution is option c. negatively skewed.

Based on the given information, we know that the mean (M) is less than both the median and the mode. This suggests that the distribution is skewed to the left (negatively skewed), with a long tail on the left side of the distribution.

The mean of a sample distribution is the average value of all the observations or measurements in the sample. It is calculated by adding up all the values in the sample and dividing the sum by the total number of observations in the sample.

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Answer:

The building is worth $129,375 now.

Step-by-step explanation:

To find the value of the building now, you can use the following formula:

Current value = Original value + (Original value * Increase percentage)

Plugging in the values given in the problem, you get:

Current value = $125,000 + ($125,000 * 3.5%)

= $125,000 + $4,375

= $129,375

Answer: 75%

Step-by-step explanation:

common sense

Circumference of circle is 2πr

The circumference of a circle or ellipse in geometry is its perimeter. That is, if the circle were opened up and straightened out to a line segment, the circumference would be the length of the arc. The curve length around any closed figure is more often referred to as the perimeter. A circle's diameter is multiplied by to determine its circumference (pi). You can also determine the circumference by multiplying 2radius by pi (=3.14). How do you calculate a circle's circumference? The circle's radius is necessary to calculate the circumference: To calculate the diameter, multiply the radius by two. Divide the outcome by, or an estimate of 3.14. You have now successfully determined the circle's circumference.

Given,

Radius - r

Circumference of circle:

2πr

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The largest share of national health expenditures is typically attributed to D. personal health care.

What is personal health care?

Personal health care refers to the direct provision of medical goods and services to individuals, including services such as hospital care, physician services, prescription drugs, and other medical supplies. These expenses typically make up the majority of national health expenditures in many countries, including the United States.

Examples of Personal Health Care Services: Personal health care expenditures include costs associated with hospital care (inpatient and outpatient), physician and specialist services, laboratory tests, prescription drugs, medical devices, home health care, nursing home care, and other healthcare services utilized by individuals.

Factors Contributing to Personal Health Care Expenses: Several factors contribute to the high share of national health expenditures attributed to personal health care. These include the increasing prevalence of chronic diseases, advances in medical technology, rising healthcare utilization, and an aging population requiring more healthcare services.

Private Health Insurance: While personal health care expenditures primarily refer to direct payments made by individuals or on their behalf, a significant portion of these costs is covered by private health insurance. Private insurance plans help individuals offset the financial burden of healthcare expenses by pooling risks and providing coverage for various medical services.

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The price per T-shirt should be at least $15 to achieve a profit of $250.

To calculate the price per T-shirt that will yield a profit of at least $250, we need to consider the cost of production, the desired profit, and the number of shirts to be sold.

Given that the cost to make each T-shirt is $10, and we want to sell 50 shirts, the total cost of production would be 10 * 50 = $500.

Now, let's calculate the minimum revenue needed to achieve a profit of $250. We add the desired profit to the total cost of production: $500 + $250 = $750.

Finally, to determine the price per T-shirt, we divide the total revenue by the number of shirts: $750 ÷ 50 = $15.

Therefore, to make a profit of at least $250, the price per T-shirt should be set at $15.

By selling each T-shirt for $15, the total revenue would be $15 * 50 = $750. From this revenue, we subtract the total production cost of $500 to calculate the profit, which amounts to $750 - $500 = $250. Thus, by charging $15 per T-shirt, the desired profit of $250 is achieved.

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Answer: 19nickels and 7dimes.

Ps i really don’t know where the 50.05 came from if it is suppose to be there then I really don’t know how to solve this.

Step-by-step explanation:

Ok so if you know that there are 19nickels, let n=number of nickels.

The number of total coins subtracted by number of nickels will give you number of dimes.

165-number of nickels=number of dimes

Value of dimes=10(number of dimes) or total value of dimes/individual value (10cent)

Then you can substitute total as $1.65 and get the value of nickels by multiplying by 5cent ( my teacher taught me using whole numbers to make it easier so I turned $1.65 to 165 cent). Since the value of the dimes is the value of nickels subtracted from the total, I can subtract 95 from 165 and divide the difference by 10, to get the number of dimes.

5(n)=5(19)=95

(165-95)/10=number of dimes

70/10=7dimes

You can check by multiplying 7x10 and 5x15 again and adding them together to see if they equal 165 cent.

Answer:

-1/2

Step-by-step explanation:

- arrange the equation in the y=mx+b form

2x + 4y =21, subtract 2x from both sides of the equation

4y= -2x +21 , divide both sides by 4

y= -1/2x +21/4

-compare the slopes m of the 2 equations

y= kx -12, has the slope k

y= -1/2x +21/4, has the slope -1/2

- If the lines are parallel then they have the same slope

Therefore, k= -1/2